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Finding the Fourth Proportional to 298,065.52, 411,338.20 and 163,933.04

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Solution

The fourth proportional to 298,065.52, 411,338.20 and 163,933.04 is: 226,231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,065.52 : 411,338.20 = 163,933.04 : x
  2. Step 2: Convert to fraction form
    298,065.52/411,338.20 = 163,933.04/x
  3. Step 3: Cross multiply
    298,065.52x = 411,338.20 × 163,933.04
  4. Step 4: Simplify right side
    298,065.52x = 67,431,921,594.13
  5. Step 5: Solve for x
    x = 67,431,921,594.13/298,065.52
  6. Step 6: Final answer
    x = 226,231.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.